A transmission shaft supporting a spur gears B and the pulley D is shown in Fig. 1. The shaft is mounted on two bearings A and C. The diameter of the pulley and the pitch circle diameter of the gear are 450 mm and 300 mm respectively. The pulley transmits 20 kW power at 500 rpm to the gear. Pl and P2 are belt tensions in the tight and loose sides, while P, and P, are tangential and radial components of gear tooth force. Assume, P1 = 3P2 and P, P, tan (20°) The gear and pulley are keyed to the shaft. The material of %3D the shaft is steel 50C4 (6u = 700 N/mm2). The factors k, and kị of the ASME code are 1.5 each. Determine the shaft diameter using the ASME code. B 400 400 400 P2 Fig. 1

A transmission shaft supporting a spur gears B and the pulley D is shown in Fig. 1. The shaft is mounted on two bearings A and C. The diameter of the pulley and the pitch circle diameter of the gear are 450 mm and 300 mm respectively. The pulley transmits 20 kW power at 500 rpm to the gear. Pl and P2 are belt tensions in the tight and loose sides, while P, and P, are tangential and radial components of gear tooth force. Assume, P1 = 3P2 and P, P, tan (20°) The gear and pulley are keyed to the shaft. The material of %3D the shaft is steel 50C4 (6u = 700 N/mm2). The factors k, and kị of the ASME code are 1.5 each. Determine the shaft diameter using the ASME code. B 400 400 400 P2 Fig. 1

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.7.12P

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